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Finding the Fourth Proportional to 100,400.46, 138,548.04 and 55,077.46

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Solution

The fourth proportional to 100,400.46, 138,548.04 and 55,077.46 is: 76,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,400.46 : 138,548.04 = 55,077.46 : x
  2. Step 2: Convert to fraction form
    100,400.46/138,548.04 = 55,077.46/x
  3. Step 3: Cross multiply
    100,400.46x = 138,548.04 × 55,077.46
  4. Step 4: Simplify right side
    100,400.46x = 7,630,874,830.23
  5. Step 5: Solve for x
    x = 7,630,874,830.23/100,400.46
  6. Step 6: Final answer
    x = 76,004.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.